Polya's Problem Solving
Updated 2026-08-13
INTRODUCTION
English translation pending.
CORE DEFINITION
George Polya's four-step framework from How to Solve It: understand the problem, its givens, unknowns, and conditions; devise a plan by finding connections and strategies; carry out the plan; and look back by checking, reflecting, and generalizing. It adds heuristic questions such as whether you can draw a picture or whether you have seen a similar problem. It is a meta-program for solving problems.
SCAFFOLDING EFFECT
Reduce cognitive load
- Follow the four steps: understand, plan, execute, and review, in that order. - Ask the heuristic questions: use prompts like whether a similar problem is known. - Mine the review: verify, extract the method, and generalize to other problems.
Anchor fast decisions
Solving is a metacognitive process: clarify the problem's boundary first, then build a bridge between what you know and what you want, and after executing, consolidate through review so the method transfers. The heuristic questions activate strategies like analogy, working backward, and specialization.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/How_to_Solve_Itverified
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